A347543 Number of partitions of n into 7 or more parts.

1, 2, 4, 7, 12, 19, 30, 45, 66, 95, 134, 186, 255, 345, 461, 611, 801, 1043, 1346, 1727, 2199, 2787, 3508, 4398, 5482, 6809, 8414, 10365, 12711, 15545, 18935, 23006, 27854, 33646, 40513, 48680, 58326, 69748, 83192, 99048, 117650, 139513, 165083, 195034, 229968, 270760

Offset: 7

Author

Ilya Gutkovskiy, Sep 06 2021

Keywords

• nonn

Crossrefs

Cf. A000065, A004250, A008636, A035300, A035301, A347542, A347544, A347545, A347547.

Programs

Mathematica

nmax = 52; CoefficientList[Series[Sum[x^k/Product[(1 - x^j), {j, 1, k}], {k, 7, nmax}], {x, 0, nmax}], x] // Drop[#, 7] &

Formula

G.f.: Sum_{k>=7} x^k / Product_{j=1..k} (1 - x^j).